12th Class Physics Electrostatics & Capacitance Question Bank Case Based (MCQs) - Electric Potential and Capacitance

  • question_answer
    If 64 identical spheres of charge q and capacitance C each are combined to form a large sphere. The charge and capacitance of the sphere is

    A) 64 q, C

    B) 16q, 4C

    C) 64q, 4C

    D) 16q, 64C

    Correct Answer: C

    Solution :

    64 drops have formed a single drop of radius R. Volume of large sphere \[=64\,\times \]Volume of small sphere \[\therefore \,\,\,\frac{4}{3}\pi {{R}^{3}}=64\frac{4}{3}\pi {{r}^{3}}\] \[\Rightarrow \,\,\,\,R=4r\] and \[{{Q}_{total}}=64q\] \[C'=4\pi {{\varepsilon }_{0}}R\Rightarrow C'=\left( 4\pi {{\varepsilon }_{0}} \right).\,4r\Rightarrow C'=4C\]


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